The clarinet is well modeled as a cylindrical pipe that is open at one end and c

Question

The clarinet is well modeled as a cylindrical pipe that is open at one end and closed at the other. Find the wavelength and frequency of the third normal mode of vibration of a clarinet's air column with effective length of 0.395 m. Take 343 m/s for the speed of sound inside the instrument.

The clarinet is well modeled as a cylindrical pipe that is open at one end and closed at the other. Find the wavelength and frequency of the third normal mode of vibration of a clarinet's air column with effective length of 0.395 m. Take 343 m/s for the speed of sound inside the instrument.

Explanation / Answer

closed pipe: ?=4L/(2n-1)

? = 0.3152m

f=v(2n-1)/4L
n=3: 3rd. normal mode of vibration , f=5v/4L
( 5th. harmonic , 2nd. overtone )
f= 5*343/(4*0.395)= 1085.44Hz

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.